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Finding the Fourth Proportional to 509,834.88, 703,572.54 and 280,395.78

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Solution

The fourth proportional to 509,834.88, 703,572.54 and 280,395.78 is: 386,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,834.88 : 703,572.54 = 280,395.78 : x
  2. Step 2: Convert to fraction form
    509,834.88/703,572.54 = 280,395.78/x
  3. Step 3: Cross multiply
    509,834.88x = 703,572.54 × 280,395.78
  4. Step 4: Simplify right side
    509,834.88x = 197,278,771,139.88
  5. Step 5: Solve for x
    x = 197,278,771,139.88/509,834.88
  6. Step 6: Final answer
    x = 386,946.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.